2004433431000 has 512 divisors, whose sum is σ = 8396766443520. Its totient is φ = 384466176000.

The previous prime is 2004433430971. The next prime is 2004433431019. The reversal of 2004433431000 is 1343344002.

It is a super-2 number, since 2×2004433431000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2669262 + ... + 3336738.

It is an arithmetic number, because the mean of its divisors is an integer number (16399934460).

Almost surely, 2^{2004433431000} is an apocalyptic number.

2004433431000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2004433431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198383221760).

2004433431000 is an abundant number, since it is smaller than the sum of its proper divisors (6392333012520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2004433431000 is a wasteful number, since it uses less digits than its factorization.

2004433431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667532 (or 667518 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 2004433431000 its reverse (1343344002), we get a palindrome (2005776775002).

The spelling of 2004433431000 in words is "two trillion, four billion, four hundred thirty-three million, four hundred thirty-one thousand".